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The rectangular gate shown in the figure has a length L2 = 6 ft, a depth into the page of 3 ft, and is

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The rectangular gate shown in the figure has a length L2 = 6 ft, a depth into the page of 3 ft, and is hinged at point A. It is submerged in water so that L = 4 ft. A cable is attached to the gate at point B, runs over a frictionless pulley, and is attached to a solid sphere with specific gravity 2.4. If 0 = 30, determine the diameter of the sphere required to keep the gate closed. You may neglect the weight of the gate. L1 A 0 L2 B

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